Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)) y = Seven divided by x squared. + 10

Answer 1

• f(x) =
  `(7)/(x^(2) )` + 10
• g(x) =
  `(7)/(x^(2) )`

Explanation:

Given that:

y = f(g(x)) =
`(7)/(x^(2) )` + 10

It is obviously that g(x) is put as an independent variable of f(x) to have the equation of y written above.

So

• f(x) =
  `(7)/(x^(2) )` + 10
• g(x) =
  `(7)/(x^(2) )`

Hope it will find you well.

Answer 2

f(x) = 7/x
g(x)=x²+10

Then f(g(x))= 7/(x²+10)

By the way g(f(x))=(7/x)² + 10